A simple construction of the Rumin algebra

Jeffrey S. Case

doi:10.5802/crmath.510

Géométrie et Topologie

A simple construction of the Rumin algebra

Jeffrey S. Case ¹

¹ Department of Mathematics, Penn State University, University Park, PA 16802, USA

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1375-1382.

Résumé

The Rumin algebra of a contact manifold is a contact invariant $C_{\infty}$ -algebra of differential forms which computes the de Rham cohomology algebra. We recover this fact by giving a simple and explicit construction of the Rumin algebra via Markl’s formulation of the Homotopy Transfer Theorem.

Reçu le : 2022-07-05
Révisé le : 2023-04-06
Accepté le : 2023-04-25
Publié le : 2023-10-31

DOI : 10.5802/crmath.510

Classification : 53D10, 58A10, 58J10
Mots clés : Rumin complex, Rumin algebra, contact invariant

Affiliations des auteurs :

Jeffrey S. Case ¹

¹ Department of Mathematics, Penn State University, University Park, PA 16802, USA

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {A simple construction of the {Rumin} algebra},
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     pages = {1375--1382},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.510},
     language = {en},
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Jeffrey S. Case. A simple construction of the Rumin algebra. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1375-1382. doi : 10.5802/crmath.510. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.510/

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